Haute Lumière
Commerce · V.06 · MMXXVI · daylight
WORKBOOK — THE CORPORATE EXECUTIVE
Chapter V.06 · The Cooperative Firm, Audited
For the person with a P&L, a signature limit, a board and a quarter. You are almost certainly not running a cooperative. Read it anyway: the arithmetic in this chapter is about illiquid equity claims and the volatility of the wage bill, and you have both.
THE PREMISE, STATED COMMERCIALLY
Three things in this chapter are already on your balance sheet whether or not anyone has labelled them.
One. You already issue an unsellable claim. Every share option under a cliff, every restricted unit, every employee ownership trust interest, every carried interest in a fund, every partnership capital account. Each is a residual claim that its holder cannot sell, and the chapter's arithmetic prices exactly that. A conventional cost of equity of 8.50 percent becomes 12.16 percent once you add an illiquidity premium of 3.66 points on a 25.0 percent marketability discount over 8 years. That is the real cost of the equity you hand out, and it is the reason a pound of restricted stock does not buy a pound of motivation.
Two. You already make the volatility trade. In any downturn you choose between the wage bill and the headcount. You may never have written the choice down, but your last three downturns did it for you, and the record is in your own files.
Three. You already have a refused band. Between a WACC of 5.65 percent and 7.11 percent in the chapter's worked example sits a set of projects one firm takes and another declines. Your hurdle rate creates one too, and you have never listed what fell inside it.
This workbook is ninety days of turning those three from folklore into figures.
PART ONE — DISCOVERY
Days 1–30
Exercise 1.1 — Plot your own trade (one afternoon with your controller)
Pull ten years of headcount and ten years of total employment cost per head. Compute the coefficient of variation of each. Whichever is higher is the variable your firm moves first.
The chapter's published benchmark is the John Lewis Partnership Bonus over fourteen years — 18, 14, 17, 15, 11, 10, 6, 5, 3, 2, 0, 3, 0, 0 percent of pay, mean 7.43 percent, standard deviation 6.595 points, coefficient of variation 0.888, with 21.4 percent of years paying nothing. That is what a firm that routes shocks to pay looks like in public.
Bring the chart to your executive team with one question and no conclusion: "Is this the trade we intended to make?"
Exercise 1.2 — The declined schedule (two weeks)
This is the single highest-value exercise in the workbook and almost nobody has done it.
Pull every capital request declined in the last three years. For each, record the expected internal rate of return and the reason for declining. Then mark every one whose return fell between your true cost of debt and your applied hurdle rate.
That total is your refused band, in money. In the chapter's worked example the band is 1.46 points wide. Yours will be wider, because applied hurdle rates almost always exceed computed ones by a margin nobody has revisited since the last rate cycle.
Exercise 1.3 — Price your own restricted equity (one week with reward)
Take the face value of unvested equity awards outstanding. Apply a marketability discount you can defend — the chapter uses 25.0 percent over 8 years, giving 3.66 points a year — and compute what the holder actually values it at.
The gap between what you charge to the P&L and what the recipient values is your reward efficiency loss, and it is usually the largest unexamined line in a compensation budget. It is also fixable: shorter cliffs, partial liquidity windows, and cash-settled alternatives all reduce the discount directly.
Exercise 1.4 — The admission-rate audit (one day)
You do not have members. You do have a population that shares in value — optionholders, partners, EOT beneficiaries, profit-share participants — and a population that does not.
Compute the ratio. Then compute your hiring rate and your admission rate into that population. The chapter's model: 80.0 percent at the start, hiring at 5.0 percent, admitting at 2.0 percent, gives 69.2 percent after five years, 59.9 percent after ten and 44.8 percent after twenty.
No decision produced that. If your own ratio is drifting, no decision is producing yours either, and it will be described as a culture problem when it is an admission-rate problem.
PART TWO — THE ARITHMETIC
Days 31–55
Exercise 2.1 — Rebuild your WACC from first principles (one week)
Not the number in the deck. The number from the inputs.
risk-free rate 4.0 %
equity risk premium 5.0 %
equity beta 0.90
cost of equity 8.50 %
pre-tax cost of debt 5.0 %
tax rate 25.0 %
after-tax cost of debt 3.75 %
equity weight 40.0 %
debt weight 60.0 %
WACC 5.65 %Substitute your own. Then put your applied hurdle rate beside it and write one sentence explaining the difference. If the sentence is "we have always used twelve," you have found something worth a board paper.
Exercise 2.2 — The growth gap, applied to your own equity story (2 hours)
conventional sustainable growth 12.0 x 0.60 + 3.0 = 10.20 % a year
cooperative sustainable growth 12.0 x 0.60 + 0.30 = 7.50 % a year
gap 2.70 points
compounding to 28.2 % after ten years
64.2 % after twentyNow the version that concerns you. If your firm were taken private, or bought by an EOT, or recapitalised so that external equity issuance fell to zero, what would your sustainable growth rate become? That is not a hypothetical: it is the arithmetic behind every succession decision your shareholders will face, and most boards meet it for the first time in the room where it has to be decided.
Exercise 2.3 — The horizon test on your own approvals (90 minutes)
investment 100, returning 12 a year in perpetuity at 10.0 %
value to a holder of a tradable claim 20.00
member with 8 years left -35.98 votes no
member with 20 years left 2.16 votes yes
break-even horizon 18.80 years
with half the value credited to her account 14.55 yearsTake your last ten capital approvals and record the expected remaining tenure of the sponsor. Then look at payback periods. If your sponsors' median remaining tenure is below your projects' median payback, you have the horizon problem without having a cooperative, and the fix is the same: make some of the value realisable by the person who has to approve it.
Exercise 2.4 — The honest negative, written by you (one hour)
The chapter's is the capital one and it does not soften: a firm whose owners cannot sell a residual claim funds growth from two sources where a listed competitor has three, and compounds 2.70 points a year slower.
Write yours. One page. What is the strongest argument against the thing you are about to propose, made by the most competent person who disagrees with you? Bring it to the board yourself. A negative you raise is credibility; the same negative raised by somebody else is a setback.
PART THREE — DESIGN
Days 56–80: the board paper
The paper is four pages. Not more.
Page 1 — The trade, plotted. Your two series, the two coefficients of variation, and one sentence: this is the variable we move first. Then the question: is that what we intend, and what would it cost to move the other one?
Page 2 — The refused band, in money. The declined schedule, the total, and the three largest items. This page converts cost of capital from a finance topic into a list of things the firm did not do.
Page 3 — The instrument. Whatever your version of the Member Capital Bridge is. In a conventional firm it is usually one of three: a liquidity window on restricted equity, a longer-dated internal capital facility, or a widened participation population funded out of the same envelope.
Terms, stated the way the chapter states them: form, coupon, ranking, covenants that are financial only, ring-fenced use of proceeds.
Page 4 — The number that decides it.
return on invested capital > coupon + amortised issuance cost
7.05 % > 6.00 % + 0.50 %
margin 0.55 pointsThin margins are not a reason to hide the number. They are the reason to show it, because a board that is shown a 0.55-point margin and approves it has approved something real, and a board that is shown a comfortable one has usually been shown an assumption.
Exercise 3.2 — Settle the accounting before you draft (two weeks)
In the cooperative case the crux is IFRIC 2: members' shares are equity only if the entity holds an unconditional right to refuse redemption, and a liability otherwise. Yours will have an analogue — put-rights on employee shares, EOT funding obligations, deferred consideration.
Take the treatment to the auditors before the terms are drafted, not after. A financing that changes a gearing covenant on the day it lands is a financing that will be unwound.
PART FOUR — DESTINY AND DELIGHT
Days 81–90
Exercise 4.1 — Four numbers into the standing pack (one conversation)
Participation ratio. Pay-versus-headcount volatility. Computed WACC beside applied hurdle rate. Value of the declined schedule.
Anything reviewed monthly persists. Anything reviewed by exception evaporates. Getting these four onto the pack is worth more than any presentation you will give about them.
Exercise 4.2 — Set the admission floor (one clause)
Whatever your participating population is, set its admission rate in policy as a floor relative to hiring, and require an explanation when the ratio falls. To recover from 59.9 percent to 80.0 percent over a decade takes admission exceeding hiring by 2.94 points a year — 7.94 percent against 5.0 percent. Far cheaper to hold the ratio than to rebuild it.
Exercise 4.3 — The second owner (this month)
One other executive who can defend all four numbers if you are not in the room, and who gets public credit for the first result.
Exercise 4.4 — Notice what changed in the arguments
Here is the delight, and it is a real executive pleasure rather than a sentimental one. Once the four numbers are on the pack, the arguments in your executive meetings get shorter and better. Nobody debates whether the firm is still what it says it is; they look at the ratio and discuss the admission clause. Nobody argues about whether finance is too conservative; they look at the declined schedule.
A firm that has made itself legible argues about decisions instead of about character, and that is a measurably nicer place to work as well as a better capitalised one.
THE ONE-PAGE SUMMARY FOR YOUR CHAIR
We move pay before headcount — or headcount before pay; here is the ten-year chart. Our computed WACC is X against an applied hurdle of Y, and the band between them contains £Z of projects we declined in three years. We issue restricted equity our people discount by 3.66 points a year, which costs us more than it buys. Our participating population is drifting because we admit more slowly than we hire, and no one decided that. I propose one instrument, one clause and four numbers in the standing pack. The instrument clears by 0.55 points on current returns, which is thin, and I would rather you saw the thin number than a comfortable one.
PART FIVE — THREE MOVES THAT DO NOT NEED A BOARD
Everything above needs a paper. These three do not, and each of them is inside the discretion you already hold.
Move one — change one question in one meeting.
In your next capital review, before the papers are opened, ask: "What did we decline last quarter, and what were the returns?" Nobody will have it. Ask again the following quarter and somebody will.
Within three quarters the declined schedule exists as a standing artifact and you did not commission a single piece of work to produce it. This is the cheapest analytical change available to an executive and almost nobody makes it, because the papers in front of you are always about what to approve and never about what the hurdle rate is quietly doing on your behalf.
Move two — ask your reward team one arithmetic question.
"What discount do our people apply to a pound of restricted equity?"
The honest answer is that nobody has computed it. The chapter's figures give the shape: a 25.0 percent marketability discount over 8 years is an illiquidity premium of 3.66 points a year, which takes a cost of equity from 8.50 percent to 12.16 percent. Apply something like that to your own unvested pool and the number is usually large enough to change a policy without needing a committee — shorter cliffs and partial liquidity windows both sit inside reward's existing remit.
Move three — publish one ratio.
Whichever participating population matters most in your firm, publish its share of headcount, once, in the standing pack. Do not propose a policy alongside it. Just publish it.
A ratio in a monthly pack does its own work. The first time it falls, somebody who is not you will ask why, and the admission-rate conversation will happen without you having had to start it. The chapter's model — 80.0 percent drifting to 59.9 percent in a decade on a hiring rate of 5.0 percent and an admission rate of 2.0 percent — is what the fall will look like, and it will look like nothing at all in any single quarter. That is precisely why it has to be a standing line rather than a review.
WHAT THIS IS WORTH, IN THE LANGUAGE OF THE FIRM
Take the three outputs together.
The declined schedule converts your cost of capital from a finance abstraction into a list of specific things the business did not do. In most firms that list, valued at the returns the sponsors forecast, is larger than any efficiency programme currently running.
The reward efficiency loss is the gap between what you charge to the P&L for equity awards and what the recipients value them at. Closing part of that gap is free margin: the same motivation for less accounting cost, or more motivation for the same.
The participation ratio is the cheapest retention instrument you have, and it is the only one in this workbook that compounds. Recovering a drifted ratio takes admission exceeding hiring by 2.94 points a year for a decade — 7.94 percent against 5.0 percent — where holding it costs nothing at all.
None of the three requires you to hold any view about cooperatives. They are the transferable parts of an audit of somebody else's ownership model, which is the most reliable place to find ideas that your own competitors have not read.
The chapter's discipline is the part worth stealing. It computes the case against its own subject in full — a 2.70-point growth gap compounding to 64.2 percent of capital base over twenty years, an instrument clearing by only 0.55 points — and publishes both. A board paper written that way is believed on its second page, and a board paper that is believed on its second page does not need a third.